S dx x2 x² + 13x

Q: Answer: y = -√2 sin x + 3 # Find the particular solution, y = f(x), to the differential equation dx…

A:

Q: || y = = x²-1 x²+x-2

A: Given

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: Consider a function f(x,y) that allows second partial derivatives, the derivatives for that function…

A:

Q: A) The area of the region between the x-axis and the graph of the function shown below and the lines…

A: Topic = Area

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: Solve the differential equation: dx || y+1 *

A:

Q: 4- For f(x) = 4x¹/3 + x4/3, determine the intervals where the function is increasing.

A: Given :f(x)=4x13+x43

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5 P4(x) =

A: This question can be solved using the concept of Taylor expansion centered at c

Q: y =(3+5.x)" Use Logarithmic Differentiation to find dy da dy dx

A: topic- logarithmic differentiation

Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

A:

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A:

Q: Q1. Let r(t) = i + 3tj + t²k be the position of a particle in space at time t. Find the following:…

A: We have to find the velocity , acceleration vector and time at speed = 5.

Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: 3 Q19- if z = z =- 4x³y sin sin (x³y) find d əx

A: Given problem:- if z = -4x3y sinsin(x y) find ∂z/∂x

Q: I need the third derivative for all of the following functions: f(x)= 1+X f(x) = -=-=-=-=-x 1-X €(x)…

A:

Q: B- for the function below, the domain and the range is respectively -2+√1-x (-∞0,00) & [-2,00)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: # dx -3 (sint) dt

A: We want to find derivative of the integral

Q: 5-10 + 15-20+.... -500

A:

Q: I need the third derivative for all of the following functions: *(x) = 1 + x² € (x) ==—=—==-x 1-X…

A:

Q: Let T be the triangular region with vertices (1,0,0), (0, 1, 0), and (0, 0, 1) oriented with…

A:

Q: B- The derivative is y = In (sec (In 8)) In 0 sec 0 O it is it's In 0 cos 0 an another answer tan…

A:

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Use cos expand then find limit

Q: Evaluate the following dx (x - 1)(x-2)(x-3) integral s

A: We need to evaluate integral.

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A:

Q: A- for the function below, the domain and the range is respectively y = |x|-2

A: Here we have to find the domain and range of the given function

Q: Suppose a product's revenue function is given by R(q)=−6q2+300qR(q)=-6q2+300q, where R(q)R(q) is in…

A: Let's find numeric value of the marginal revenue.

Q: One number exceeds another by 1. The sum of the numbers is 73. What are the​ numbers?

A: Given data÷ One number exceeds another by 1. The sum of the numbers is 73.     Let assume that  One…

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: Solve the intial Value problem (IVP) 2t ý -by-Zy - 6e

A: Note: Since, the student has mentioned "initial value problem (IVP)" but he has not given the…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: dy Give the coordinates of the point where y = sin(t)- t³ O (0,0) O (0.535,0) O (-0.535,0) (0, 1) is…

A:

Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²)+1 at…

A:

Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

A:

Q: Evaluate the following integral − − (x - 1)(x-2)(x − 3)

A:

Q: If f(x)=(x2+5x+8)4f(x)=(x2+5x+8)4, then f'(x)f′(x) =    f'(1)f′(1) =

A: The objective of the question is determine the derivative of the given function at x=1

Q: Note: Answer All the Questions 01- Fill in the blank for the following statements 1- The cylindrical…

A:

Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

A:

Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

A:

Q: Solve the given differential equations: dy 1. 2+y² dx

A:

Q: The result of dy/dx for the following function is COS X y = 1+sin x

A:

Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

Q: C-the derivative is y = 0³ e 28 cos 50

A:

Q: (c) Graph f(x) = sinx, 0≤x≤ 2π and also graph f-¹(x).

A: